%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CSR310_1 : TPTP v9.2.1. Released v9.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n018.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:13:19 AM UTC 2026 % Result : Theorem 45.54s 45.95s % Output : Proof 45.54s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : CSR310_1 : TPTP v9.2.1. Released v9.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.14/0.34 % Computer : n018.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 300 % 0.14/0.34 % DateTime : Mon Jun 1 22:24:50 EDT 2026 % 0.14/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_ARI % 45.54/45.95 --- Run --finite-model-find --decision=internal at 45... % 45.54/45.95 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 45.54/45.95 % SZS status Theorem % 45.54/45.95 % SZS output start Proof % 45.54/45.95 ( % 45.54/45.95 (declare-sort tptp.event 0) % 45.54/45.95 (declare-sort tptp.fluent 0) % 45.54/45.95 (declare-sort tptp.time 0) % 45.54/45.95 (declare-const tptp.spilling tptp.fluent) % 45.54/45.95 (declare-const tptp.filling tptp.fluent) % 45.54/45.95 (declare-const tptp.waterLevel (-> Int tptp.fluent)) % 45.54/45.95 (declare-const tptp.overflow tptp.event) % 45.54/45.95 (declare-const tptp.at_time (-> Int tptp.time)) % 45.54/45.95 (declare-const tptp.terminates (-> tptp.event tptp.fluent tptp.time Bool)) % 45.54/45.95 (declare-const tptp.happens (-> tptp.event tptp.time Bool)) % 45.54/45.95 (declare-const tptp.stoppedIn (-> tptp.time tptp.fluent tptp.time Bool)) % 45.54/45.95 (declare-const tptp.initiates (-> tptp.event tptp.fluent tptp.time Bool)) % 45.54/45.95 (declare-const tptp.startedIn (-> tptp.time tptp.fluent tptp.time Bool)) % 45.54/45.95 (declare-const tptp.releasedAt (-> tptp.fluent tptp.time Bool)) % 45.54/45.95 (declare-const tptp.holdsAt (-> tptp.fluent tptp.time Bool)) % 45.54/45.95 (declare-const tptp.trajectory (-> tptp.fluent tptp.time tptp.fluent Int Bool)) % 45.54/45.95 (declare-const tptp.tapOff tptp.event) % 45.54/45.95 (declare-const tptp.antitrajectory (-> tptp.fluent tptp.time tptp.fluent Int Bool)) % 45.54/45.95 (declare-const tptp.releases (-> tptp.event tptp.fluent tptp.time Bool)) % 45.54/45.95 (declare-const tptp.tapOn tptp.event) % 45.54/45.95 (define @t1 () (@var "Time" Int)) % 45.54/45.95 (define @t2 () (tptp.at_time @t1)) % 45.54/45.95 (define @t3 () (@var "Fluent" tptp.fluent)) % 45.54/45.95 (define @t4 () (@var "Event" tptp.event)) % 45.54/45.95 (define @t5 () (tptp.terminates @t4 @t3 @t2)) % 45.54/45.95 (define @t6 () (@var "Time2" Int)) % 45.54/45.95 (define @t7 () (< @t1 @t6)) % 45.54/45.95 (define @t8 () (@var "Time1" Int)) % 45.54/45.95 (define @t9 () (< @t8 @t1)) % 45.54/45.95 (define @t10 () (tptp.happens @t4 @t2)) % 45.54/45.95 (define @t11 () (@list @t4 @t1)) % 45.54/45.95 (define @t12 () (tptp.at_time @t6)) % 45.54/45.95 (define @t13 () (tptp.at_time @t8)) % 45.54/45.95 (define @t14 () (@list @t8 @t3 @t6)) % 45.54/45.95 (define @t15 () (tptp.initiates @t4 @t3 @t2)) % 45.54/45.95 (define @t16 () (@var "Offset" Int)) % 45.54/45.95 (define @t17 () (tptp.at_time (+ @t1 @t16))) % 45.54/45.95 (define @t18 () (@var "Fluent2" tptp.fluent)) % 45.54/45.95 (define @t19 () (tptp.at_time (+ @t8 @t6))) % 45.54/45.95 (define @t20 () (@var "Fluent1" tptp.fluent)) % 45.54/45.95 (define @t21 () (+ @t1 1)) % 45.54/45.95 (define @t22 () (tptp.at_time @t21)) % 45.54/45.95 (define @t23 () (tptp.holdsAt @t3 @t22)) % 45.54/45.95 (define @t24 () (and @t10 @t5)) % 45.54/45.95 (define @t25 () (@list @t4)) % 45.54/45.95 (define @t26 () (exists @t25 @t24)) % 45.54/45.95 (define @t27 () (not @t26)) % 45.54/45.95 (define @t28 () (tptp.releasedAt @t3 @t22)) % 45.54/45.95 (define @t29 () (not @t28)) % 45.54/45.95 (define @t30 () (tptp.holdsAt @t3 @t2)) % 45.54/45.95 (define @t31 () (and @t30 @t29 @t27)) % 45.54/45.95 (define @t32 () (=> @t31 @t23)) % 45.54/45.95 (define @t33 () (@list @t3 @t1)) % 45.54/45.95 (define @t34 () (forall @t33 @t32)) % 45.54/45.95 (define @t35 () (not @t23)) % 45.54/45.95 (define @t36 () (and @t10 @t15)) % 45.54/45.95 (define @t37 () (not @t30)) % 45.54/45.95 (define @t38 () (and @t10 (or @t15 @t5))) % 45.54/45.95 (define @t39 () (tptp.releasedAt @t3 @t2)) % 45.54/45.95 (define @t40 () (tptp.releases @t4 @t3 @t2)) % 45.54/45.95 (define @t41 () (and @t10 @t40)) % 45.54/45.95 (define @t42 () (exists @t25 @t41)) % 45.54/45.95 (define @t43 () (not @t42)) % 45.54/45.95 (define @t44 () (not @t39)) % 45.54/45.95 (define @t45 () (and @t44 @t43)) % 45.54/45.95 (define @t46 () (=> @t45 @t29)) % 45.54/45.95 (define @t47 () (forall @t33 @t46)) % 45.54/45.95 (define @t48 () (@list @t4 @t1 @t3)) % 45.54/45.95 (define @t49 () (@var "X" Int)) % 45.54/45.95 (define @t50 () (tptp.waterLevel @t49)) % 45.54/45.95 (define @t51 () (@list @t49)) % 45.54/45.95 (define @t52 () (forall @t51 (not (= tptp.filling @t50)))) % 45.54/45.95 (define @t53 () (@var "Y" Int)) % 45.54/45.95 (define @t54 () (@var "Height" Int)) % 45.54/45.95 (define @t55 () (tptp.waterLevel @t54)) % 45.54/45.95 (define @t56 () (= @t3 @t55)) % 45.54/45.95 (define @t57 () (= @t4 tptp.overflow)) % 45.54/45.95 (define @t58 () (tptp.holdsAt @t55 @t2)) % 45.54/45.95 (define @t59 () (@list @t54)) % 45.54/45.95 (define @t60 () (= @t4 tptp.tapOff)) % 45.54/45.95 (define @t61 () (= @t3 tptp.filling)) % 45.54/45.95 (define @t62 () (= @t4 tptp.tapOn)) % 45.54/45.95 (define @t63 () (@list @t4 @t3 @t1)) % 45.54/45.95 (define @t64 () (and @t62 @t56)) % 45.54/45.95 (define @t65 () (exists @t59 @t64)) % 45.54/45.95 (define @t66 () (= @t40 @t65)) % 45.54/45.95 (define @t67 () (forall @t63 @t66)) % 45.54/45.95 (define @t68 () (@var "Height2" Int)) % 45.54/45.95 (define @t69 () (tptp.waterLevel @t68)) % 45.54/45.95 (define @t70 () (@var "Height1" Int)) % 45.54/45.95 (define @t71 () (tptp.holdsAt (tptp.waterLevel @t70) @t2)) % 45.54/45.95 (define @t72 () (tptp.waterLevel 3)) % 45.54/45.95 (define @t73 () (forall @t11 (= @t10 (or (and @t62 (= @t1 0)) (and (tptp.holdsAt @t72 @t2) (tptp.holdsAt tptp.filling @t2) @t57))))) % 45.54/45.95 (define @t74 () (tptp.at_time 0)) % 45.54/45.95 (define @t75 () (tptp.releasedAt tptp.filling @t74)) % 45.54/45.95 (define @t76 () (tptp.at_time 4)) % 45.54/45.95 (define @t77 () (tptp.holdsAt tptp.filling @t76)) % 45.54/45.95 (define @t78 () (tptp.at_time 3)) % 45.54/45.95 (define @t79 () (tptp.holdsAt @t72 @t78)) % 45.54/45.95 (define @t80 () (tptp.holdsAt tptp.filling @t78)) % 45.54/45.95 (define @t81 () (+ 1 @t1)) % 45.54/45.95 (define @t82 () (tptp.at_time @t81)) % 45.54/45.95 (define @t83 () (tptp.releasedAt @t3 @t82)) % 45.54/45.95 (define @t84 () (not @t83)) % 45.54/45.95 (define @t85 () (not @t10)) % 45.54/45.95 (define @t86 () (forall @t25 (or @t85 (not @t40)))) % 45.54/45.95 (define @t87 () (not @t86)) % 45.54/45.95 (define @t88 () (or @t39 @t87 @t84)) % 45.54/45.95 (define @t89 () (and @t44 @t86)) % 45.54/45.95 (define @t90 () (forall @t25 (not @t41))) % 45.54/45.95 (define @t91 () (not @t90)) % 45.54/45.95 (define @t92 () (+ 1 3)) % 45.54/45.95 (define @t93 () (tptp.at_time @t92)) % 45.54/45.95 (define @t94 () (tptp.releasedAt tptp.filling @t93)) % 45.54/45.95 (define @t95 () (not @t94)) % 45.54/45.95 (define @t96 () (not (tptp.happens @t4 @t78))) % 45.54/45.95 (define @t97 () (forall @t25 (or @t96 (not (tptp.releases @t4 tptp.filling @t78))))) % 45.54/45.95 (define @t98 () (not @t97)) % 45.54/45.95 (define @t99 () (tptp.releasedAt tptp.filling @t78)) % 45.54/45.95 (define @t100 () (or @t99 @t98 @t95)) % 45.54/45.95 (define @t101 () (forall @t33 @t88)) % 45.54/45.95 (define @t102 () (@list tptp.filling 3)) % 45.54/45.95 (define @t103 () (tptp.releasedAt tptp.filling @t76)) % 45.54/45.95 (define @t104 () (not @t103)) % 45.54/45.95 (define @t105 () (or @t99 @t98 @t104)) % 45.54/45.95 (define @t106 () (@list false)) % 45.54/45.95 (define @t107 () (@list @t101)) % 45.54/45.95 (define @t108 () (+ 1 2)) % 45.54/45.95 (define @t109 () (tptp.at_time @t108)) % 45.54/45.95 (define @t110 () (tptp.releasedAt tptp.filling @t109)) % 45.54/45.95 (define @t111 () (not @t110)) % 45.54/45.95 (define @t112 () (tptp.at_time 2)) % 45.54/45.95 (define @t113 () (forall @t25 (or (not (tptp.happens @t4 @t112)) (not (tptp.releases @t4 tptp.filling @t112))))) % 45.54/45.95 (define @t114 () (not @t113)) % 45.54/45.95 (define @t115 () (tptp.releasedAt tptp.filling @t112)) % 45.54/45.95 (define @t116 () (or @t115 @t114 @t111)) % 45.54/45.95 (define @t117 () (not @t99)) % 45.54/45.95 (define @t118 () (or @t115 @t114 @t117)) % 45.54/45.95 (define @t119 () (not @t56)) % 45.54/45.95 (define @t120 () (forall @t59 @t119)) % 45.54/45.95 (define @t121 () (not @t120)) % 45.54/45.95 (define @t122 () (not @t62)) % 45.54/45.95 (define @t123 () (or @t122 @t120)) % 45.54/45.95 (define @t124 () (= @t40 (not @t123))) % 45.54/45.95 (define @t125 () (forall @t59 (not @t64))) % 45.54/45.95 (define @t126 () (not @t125)) % 45.54/45.95 (define @t127 () (forall @t59 (not (= tptp.filling @t55)))) % 45.54/45.95 (define @t128 () (not @t127)) % 45.54/45.95 (define @t129 () (@quantifiers_skolemize @t113 0)) % 45.54/45.95 (define @t130 () (and (= @t129 tptp.tapOn) @t128)) % 45.54/45.95 (define @t131 () (tptp.releases @t129 tptp.filling @t112)) % 45.54/45.95 (define @t132 () (= @t131 @t130)) % 45.54/45.95 (define @t133 () (forall @t63 (= @t40 (and @t62 @t121)))) % 45.54/45.95 (define @t134 () (and (= tptp.tapOn @t129) @t128)) % 45.54/45.95 (define @t135 () (= @t131 @t134)) % 45.54/45.95 (define @t136 () (@list @t133)) % 45.54/45.95 (define @t137 () (not @t134)) % 45.54/45.95 (define @t138 () (@list @t127)) % 45.54/45.95 (define @t139 () (not @t131)) % 45.54/45.95 (define @t140 () (@list true false)) % 45.54/45.95 (define @t141 () (or (not (tptp.happens @t129 @t112)) @t139)) % 45.54/45.95 (define @t142 () (@list true)) % 45.54/45.95 (define @t143 () (not @t141)) % 45.54/45.95 (define @t144 () (+ 1 1)) % 45.54/45.95 (define @t145 () (tptp.at_time @t144)) % 45.54/45.95 (define @t146 () (tptp.releasedAt tptp.filling @t145)) % 45.54/45.95 (define @t147 () (not @t146)) % 45.54/45.95 (define @t148 () (tptp.at_time 1)) % 45.54/45.95 (define @t149 () (forall @t25 (or (not (tptp.happens @t4 @t148)) (not (tptp.releases @t4 tptp.filling @t148))))) % 45.54/45.95 (define @t150 () (not @t149)) % 45.54/45.95 (define @t151 () (tptp.releasedAt tptp.filling @t148)) % 45.54/45.95 (define @t152 () (or @t151 @t150 @t147)) % 45.54/45.95 (define @t153 () (not @t115)) % 45.54/45.95 (define @t154 () (or @t151 @t150 @t153)) % 45.54/45.95 (define @t155 () (@quantifiers_skolemize @t149 0)) % 45.54/45.95 (define @t156 () (and (= @t155 tptp.tapOn) @t128)) % 45.54/45.95 (define @t157 () (tptp.releases @t155 tptp.filling @t148)) % 45.54/45.95 (define @t158 () (= @t157 @t156)) % 45.54/45.95 (define @t159 () (and (= tptp.tapOn @t155) @t128)) % 45.54/45.95 (define @t160 () (= @t157 @t159)) % 45.54/45.95 (define @t161 () (not @t159)) % 45.54/45.95 (define @t162 () (not @t157)) % 45.54/45.95 (define @t163 () (or (not (tptp.happens @t155 @t148)) @t162)) % 45.54/45.95 (define @t164 () (not @t163)) % 45.54/45.95 (define @t165 () (+ 1 0)) % 45.54/45.95 (define @t166 () (tptp.at_time @t165)) % 45.54/45.95 (define @t167 () (tptp.releasedAt tptp.filling @t166)) % 45.54/45.95 (define @t168 () (not @t167)) % 45.54/45.95 (define @t169 () (forall @t25 (or (not (tptp.happens @t4 @t74)) (not (tptp.releases @t4 tptp.filling @t74))))) % 45.54/45.95 (define @t170 () (not @t169)) % 45.54/45.95 (define @t171 () (or @t75 @t170 @t168)) % 45.54/45.95 (define @t172 () (not @t151)) % 45.54/45.95 (define @t173 () (or @t75 @t170 @t172)) % 45.54/45.95 (define @t174 () (@quantifiers_skolemize @t169 0)) % 45.54/45.95 (define @t175 () (and (= @t174 tptp.tapOn) @t128)) % 45.54/45.95 (define @t176 () (tptp.releases @t174 tptp.filling @t74)) % 45.54/45.95 (define @t177 () (= @t176 @t175)) % 45.54/45.95 (define @t178 () (and (= tptp.tapOn @t174) @t128)) % 45.54/45.95 (define @t179 () (= @t176 @t178)) % 45.54/45.95 (define @t180 () (not @t178)) % 45.54/45.95 (define @t181 () (not @t176)) % 45.54/45.95 (define @t182 () (or (not (tptp.happens @t174 @t74)) @t181)) % 45.54/45.95 (define @t183 () (not @t182)) % 45.54/45.95 (define @t184 () (@list true false false)) % 45.54/45.95 (define @t185 () (tptp.holdsAt @t3 @t82)) % 45.54/45.95 (define @t186 () (forall @t25 (or @t85 (not @t5)))) % 45.54/45.95 (define @t187 () (not @t186)) % 45.54/45.95 (define @t188 () (or @t37 @t83 @t187 @t185)) % 45.54/45.95 (define @t189 () (not @t84)) % 45.54/45.95 (define @t190 () (or @t37 @t189 @t187)) % 45.54/45.95 (define @t191 () (and @t30 @t84 @t186)) % 45.54/45.95 (define @t192 () (forall @t25 (not @t24))) % 45.54/45.95 (define @t193 () (not @t192)) % 45.54/45.95 (define @t194 () (tptp.holdsAt tptp.filling @t93)) % 45.54/45.95 (define @t195 () (forall @t25 (or @t96 (not (tptp.terminates @t4 tptp.filling @t78))))) % 45.54/45.95 (define @t196 () (not @t195)) % 45.54/45.95 (define @t197 () (not @t80)) % 45.54/45.95 (define @t198 () (or @t197 @t94 @t196 @t194)) % 45.54/45.95 (define @t199 () (forall @t33 @t188)) % 45.54/45.95 (define @t200 () (or @t197 @t103 @t196 @t77)) % 45.54/45.95 (define @t201 () (@quantifiers_skolemize @t195 0)) % 45.54/45.95 (define @t202 () (and @t79 @t80 (= tptp.overflow @t201))) % 45.54/45.95 (define @t203 () (and @t79 @t80 (= @t201 tptp.overflow))) % 45.54/45.95 (define @t204 () (= 3 0)) % 45.54/45.95 (define @t205 () (and (= @t201 tptp.tapOn) @t204)) % 45.54/45.95 (define @t206 () (or @t205 @t203)) % 45.54/45.95 (define @t207 () (tptp.happens @t201 @t78)) % 45.54/45.95 (define @t208 () (= @t207 @t206)) % 45.54/45.95 (define @t209 () (= @t207 @t202)) % 45.54/45.95 (define @t210 () (not @t202)) % 45.54/45.95 (define @t211 () (not @t207)) % 45.54/45.95 (define @t212 () (or @t211 (not (tptp.terminates @t201 tptp.filling @t78)))) % 45.54/45.95 (define @t213 () (not @t212)) % 45.54/45.95 (define @t214 () (@list false true false)) % 45.54/45.95 (define @t215 () (@quantifiers_skolemize @t97 0)) % 45.54/45.95 (define @t216 () (tptp.releases @t215 tptp.filling @t78)) % 45.54/45.95 (define @t217 () (not @t216)) % 45.54/45.95 (define @t218 () (or (not (tptp.happens @t215 @t78)) @t217)) % 45.54/45.95 (define @t219 () (not @t218)) % 45.54/45.95 (define @t220 () (and (= tptp.tapOn @t215) @t128)) % 45.54/45.95 (define @t221 () (not @t220)) % 45.54/45.95 (define @t222 () (and (= @t215 tptp.tapOn) @t128)) % 45.54/45.95 (define @t223 () (= @t216 @t222)) % 45.54/45.95 (define @t224 () (= @t216 @t220)) % 45.54/45.95 (assume @p1 (forall @t14 (= (tptp.stoppedIn @t13 @t3 @t12) (exists @t11 (and @t10 @t9 @t7 @t5))))) % 45.54/45.95 (assume @p2 (forall @t14 (= (tptp.startedIn @t13 @t3 @t12) (exists @t11 (and @t10 @t9 @t7 @t15))))) % 45.54/45.95 (assume @p3 (forall (@list @t4 @t1 @t3 @t18 @t16) (=> (and @t10 @t15 (< 0 @t16) (tptp.trajectory @t3 @t2 @t18 @t16) (not (tptp.stoppedIn @t2 @t3 @t17))) (tptp.holdsAt @t18 @t17)))) % 45.54/45.95 (assume @p4 (forall (@list @t4 @t8 @t20 @t6 @t18) (=> (and (tptp.happens @t4 @t13) (tptp.terminates @t4 @t20 @t13) (< 0 @t6) (tptp.antitrajectory @t20 @t13 @t18 @t6) (not (tptp.startedIn @t13 @t20 @t19))) (tptp.holdsAt @t18 @t19)))) % 45.54/45.95 (assume @p5 @t34) % 45.54/45.95 (assume @p6 (forall @t33 (=> (and @t37 @t29 (not (exists @t25 @t36))) @t35))) % 45.54/45.95 (assume @p7 (forall @t33 (=> (and @t39 (not (exists @t25 @t38))) @t28))) % 45.54/45.95 (assume @p8 @t47) % 45.54/45.95 (assume @p9 (forall @t48 (=> @t36 @t23))) % 45.54/45.95 (assume @p10 (forall @t48 (=> @t24 @t35))) % 45.54/45.95 (assume @p11 (forall @t48 (=> @t41 @t28))) % 45.54/45.95 (assume @p12 (forall @t48 (=> @t38 @t29))) % 45.54/45.95 (assume @p13 (not (= tptp.tapOn tptp.tapOff))) % 45.54/45.95 (assume @p14 (not (= tptp.tapOn tptp.overflow))) % 45.54/45.95 (assume @p15 (not (= tptp.tapOff tptp.overflow))) % 45.54/45.95 (assume @p16 @t52) % 45.54/45.95 (assume @p17 (forall @t51 (not (= tptp.spilling @t50)))) % 45.54/45.95 (assume @p18 (not (= tptp.filling tptp.spilling))) % 45.54/45.95 (assume @p19 (forall (@list @t49 @t53) (= (= @t50 (tptp.waterLevel @t53)) (= @t49 @t53)))) % 45.54/45.95 (assume @p20 (forall @t63 (= @t15 (or (and @t62 @t61) (and @t57 (= @t3 tptp.spilling)) (exists @t59 (and @t58 @t60 @t56)) (exists @t59 (and @t58 @t57 @t56)))))) % 45.54/45.95 (assume @p21 (forall @t63 (= @t5 (or (and @t60 @t61) (and @t57 @t61))))) % 45.54/45.95 (assume @p22 @t67) % 45.54/45.95 (assume @p23 (forall (@list @t70 @t1 @t68 @t16) (=> (and @t71 (= @t68 (+ @t70 @t16))) (tptp.trajectory tptp.filling @t2 @t69 @t16)))) % 45.54/45.95 (assume @p24 (forall (@list @t1 @t70 @t68) (=> (and @t71 (tptp.holdsAt @t69 @t2)) (= @t70 @t68)))) % 45.54/45.95 (assume @p25 @t73) % 45.54/45.95 (assume @p26 (tptp.holdsAt (tptp.waterLevel 0) @t74)) % 45.54/45.95 (assume @p27 (not (tptp.holdsAt tptp.filling @t74))) % 45.54/45.95 (assume @p28 (not (tptp.holdsAt tptp.spilling @t74))) % 45.54/45.95 (assume @p29 (forall @t59 (not (tptp.releasedAt @t55 @t74)))) % 45.54/45.95 (assume @p30 (not @t75)) % 45.54/45.95 (assume @p31 (not (tptp.releasedAt tptp.spilling @t74))) % 45.54/45.95 (assume @p32 (not (=> @t80 (or @t79 @t77)))) % 45.54/45.95 (assume @p33 true) % 45.54/45.95 (step @p34 :rule aci_norm :args ((= (or (or @t39 @t87) @t84) @t88))) % 45.54/45.95 (step @p35 :rule refl :args (@t84)) % 45.54/45.95 (step @p36 :rule refl :args (@t87)) % 45.54/45.95 (step @p37 :rule bool-double-not-elim :args (@t39)) % 45.54/45.95 (step @p38 :rule nary_cong :premises (@p37 @p36) :args ((or (not @t44) @t87))) % 45.54/45.95 (step @p39 :rule bool-and-de-morgan :args (@t44 @t86 true)) % 45.54/45.95 (step @p40 :rule trans :premises (@p39 @p38)) % 45.54/45.95 (step @p41 :rule nary_cong :premises (@p40 @p35) :args ((or (not @t89) @t84))) % 45.54/45.95 (step @p42 :rule trans :premises (@p41 @p34)) % 45.54/45.95 (step @p43 :rule bool-impl-elim :args (@t89 @t84)) % 45.54/45.95 (step @p44 :rule trans :premises (@p43 @p42)) % 45.54/45.95 (step @p45 :rule cong :premises (@p44) :args ((forall @t33 (=> @t89 @t84)))) % 45.54/45.95 (step @p46 :rule arith_poly_norm :args ((= @t21 @t81))) % 45.54/45.95 (step @p47 :rule cong :premises (@p46) :args (@t22)) % 45.54/45.95 (step @p48 :rule refl :args (@t3)) % 45.54/45.95 (step @p49 :rule cong :premises (@p48 @p47) :args (@t28)) % 45.54/45.95 (step @p50 :rule cong :premises (@p49) :args (@t29)) % 45.54/45.95 (step @p51 :rule bool-double-not-elim :args (@t86)) % 45.54/45.95 (step @p52 :rule bool-and-de-morgan :args (@t10 @t40 true)) % 45.54/45.95 (step @p53 :rule cong :premises (@p52) :args (@t90)) % 45.54/45.95 (step @p54 :rule cong :premises (@p53) :args (@t91)) % 45.54/45.95 (step @p55 :rule exists-elim :args ((= @t42 @t91))) % 45.54/45.95 (step @p56 :rule trans :premises (@p55 @p54)) % 45.54/45.95 (step @p57 :rule cong :premises (@p56) :args (@t43)) % 45.54/45.95 (step @p58 :rule trans :premises (@p57 @p51)) % 45.54/45.95 (step @p59 :rule refl :args (@t44)) % 45.54/45.95 (step @p60 :rule nary_cong :premises (@p59 @p58) :args (@t45)) % 45.54/45.95 (step @p61 :rule cong :premises (@p60 @p50) :args (@t46)) % 45.54/45.95 (step @p62 :rule cong :premises (@p61) :args (@t47)) % 45.54/45.95 (step @p63 :rule trans :premises (@p62 @p45)) % 45.54/45.95 (step @p64 :rule eq_resolve :premises (@p8 @p63)) % 45.54/45.95 (step @p65 :rule evaluate :args (@t92)) % 45.54/45.95 (step @p66 :rule cong :premises (@p65) :args (@t93)) % 45.54/45.95 (step @p67 :rule refl :args (tptp.filling)) % 45.54/45.95 (step @p68 :rule cong :premises (@p67 @p66) :args (@t94)) % 45.54/45.95 (step @p69 :rule cong :premises (@p68) :args (@t95)) % 45.54/45.95 (step @p70 :rule refl :args (@t98)) % 45.54/45.95 (step @p71 :rule refl :args (@t99)) % 45.54/45.95 (step @p72 :rule nary_cong :premises (@p71 @p70 @p69) :args (@t100)) % 45.54/45.95 (step @p73 :rule refl :args (@t101)) % 45.54/45.95 (step @p74 :rule cong :premises (@p73 @p72) :args ((=> @t101 @t100))) % 45.54/45.95 (assume-push @p403 @t101) % 45.54/45.95 (step @p76 :rule instantiate :premises (@p64) :args (@t102)) % 45.54/45.95 (step-pop @p404 :rule scope :premises (@p76)) % 45.54/45.95 (step @p77 :rule process_scope :premises (@p404) :args (@t100)) % 45.54/45.95 (step @p79 :rule eq_resolve :premises (@p77 @p74)) % 45.54/45.95 (step @p80 :rule implies_elim :premises (@p79)) % 45.54/45.95 (step @p81 :rule chain_m_resolution :premises (@p80 @p64) :args (@t105 @t106 @t107)) % 45.54/45.95 (step @p82 :rule evaluate :args (@t108)) % 45.54/45.95 (step @p83 :rule cong :premises (@p82) :args (@t109)) % 45.54/45.95 (step @p84 :rule cong :premises (@p67 @p83) :args (@t110)) % 45.54/45.95 (step @p85 :rule cong :premises (@p84) :args (@t111)) % 45.54/45.95 (step @p86 :rule refl :args (@t114)) % 45.54/45.95 (step @p87 :rule refl :args (@t115)) % 45.54/45.95 (step @p88 :rule nary_cong :premises (@p87 @p86 @p85) :args (@t116)) % 45.54/45.95 (step @p89 :rule cong :premises (@p73 @p88) :args ((=> @t101 @t116))) % 45.54/45.95 (assume-push @p405 @t101) % 45.54/45.95 (step @p91 :rule instantiate :premises (@p64) :args ((@list tptp.filling 2))) % 45.54/45.95 (step-pop @p406 :rule scope :premises (@p91)) % 45.54/45.95 (step @p92 :rule process_scope :premises (@p406) :args (@t116)) % 45.54/45.95 (step @p94 :rule eq_resolve :premises (@p92 @p89)) % 45.54/45.95 (step @p95 :rule implies_elim :premises (@p94)) % 45.54/45.95 (step @p96 :rule chain_m_resolution :premises (@p95 @p64) :args (@t118 @t106 @t107)) % 45.54/45.95 (step @p97 :rule refl :args (@t121)) % 45.54/45.95 (step @p98 :rule bool-double-not-elim :args (@t62)) % 45.54/45.95 (step @p99 :rule nary_cong :premises (@p98 @p97) :args ((and (not @t122) @t121))) % 45.54/45.95 (step @p100 :rule bool-or-de-morgan :args (@t122 @t120 false)) % 45.54/45.95 (step @p101 :rule trans :premises (@p100 @p99)) % 45.54/45.95 (step @p102 :rule refl :args (@t40)) % 45.54/45.95 (step @p103 :rule cong :premises (@p102 @p101) :args (@t124)) % 45.54/45.95 (step @p104 :rule cong :premises (@p103) :args ((forall @t63 @t124))) % 45.54/45.95 (step @p105 :rule quant-miniscope-or :args ((= (forall @t59 (or @t122 @t119)) @t123))) % 45.54/45.95 (step @p106 :rule bool-and-de-morgan :args (@t62 @t56 true)) % 45.54/45.95 (step @p107 :rule cong :premises (@p106) :args (@t125)) % 45.54/45.95 (step @p108 :rule trans :premises (@p107 @p105)) % 45.54/45.95 (step @p109 :rule cong :premises (@p108) :args (@t126)) % 45.54/45.95 (step @p110 :rule exists-elim :args ((= @t65 @t126))) % 45.54/45.95 (step @p111 :rule trans :premises (@p110 @p109)) % 45.54/45.95 (step @p112 :rule refl :args (@t40)) % 45.54/45.95 (step @p113 :rule cong :premises (@p112 @p111) :args (@t66)) % 45.54/45.95 (step @p114 :rule cong :premises (@p113) :args (@t67)) % 45.54/45.95 (step @p115 :rule trans :premises (@p114 @p104)) % 45.54/45.95 (step @p116 :rule eq_resolve :premises (@p22 @p115)) % 45.54/45.95 (step @p117 :rule refl :args (@t128)) % 45.54/45.95 (step @p118 :rule eq-symm :args (@t129 tptp.tapOn)) % 45.54/45.95 (step @p119 :rule nary_cong :premises (@p118 @p117) :args (@t130)) % 45.54/45.95 (step @p120 :rule refl :args (@t131)) % 45.54/45.95 (step @p121 :rule cong :premises (@p120 @p119) :args (@t132)) % 45.54/45.95 (step @p122 :rule refl :args (@t133)) % 45.54/45.95 (step @p123 :rule cong :premises (@p122 @p121) :args ((=> @t133 @t132))) % 45.54/45.95 (assume-push @p407 @t133) % 45.54/45.95 (step @p125 :rule instantiate :premises (@p116) :args ((@list @t129 tptp.filling 2))) % 45.54/45.95 (step-pop @p408 :rule scope :premises (@p125)) % 45.54/45.95 (step @p126 :rule process_scope :premises (@p408) :args (@t132)) % 45.54/45.95 (step @p128 :rule eq_resolve :premises (@p126 @p123)) % 45.54/45.95 (step @p129 :rule implies_elim :premises (@p128)) % 45.54/45.95 (step @p130 :rule chain_m_resolution :premises (@p129 @p116) :args (@t135 @t106 @t136)) % 45.54/45.95 (step @p131 :rule alpha_equiv :args (@t52 (@list @t49) (@list @t54))) % 45.54/45.95 (step @p132 :rule equiv_elim1 :premises (@p131)) % 45.54/45.95 (step @p133 :rule chain_m_resolution :premises (@p132 @p16) :args (@t127 @t106 (@list @t52))) % 45.54/45.95 (step @p134 :rule cnf_and_pos :args (@t134 1)) % 45.54/45.95 (step @p135 :rule reordering :premises (@p134) :args ((or @t128 @t137))) % 45.54/45.95 (step @p136 :rule chain_m_resolution :premises (@p135 @p133) :args (@t137 @t106 @t138)) % 45.54/45.95 (step @p137 :rule cnf_equiv_pos1 :args (@t135)) % 45.54/45.95 (step @p138 :rule reordering :premises (@p137) :args ((or @t139 @t134 (not @t135)))) % 45.54/45.95 (step @p139 :rule chain_m_resolution :premises (@p138 @p136 @p130) :args (@t139 @t140 (@list @t134 @t135))) % 45.54/45.95 (step @p140 :rule bool-double-not-elim :args (@t131)) % 45.54/45.95 (step @p141 :rule refl :args (@t141)) % 45.54/45.95 (step @p142 :rule nary_cong :premises (@p141 @p140) :args ((or @t141 (not @t139)))) % 45.54/45.95 (step @p143 :rule cnf_or_neg :args (@t141 1)) % 45.54/45.95 (step @p144 :rule eq_resolve :premises (@p143 @p142)) % 45.54/45.95 (step @p145 :rule reordering :premises (@p144) :args ((or @t131 @t141))) % 45.54/45.95 (step @p146 :rule chain_m_resolution :premises (@p145 @p139) :args (@t141 @t142 (@list @t131))) % 45.54/45.95 (step @p147 :rule refl :args (@t143)) % 45.54/45.95 (step @p148 :rule bool-double-not-elim :args (@t113)) % 45.54/45.95 (step @p149 :rule nary_cong :premises (@p148 @p147) :args ((or (not @t114) @t143))) % 45.54/45.95 (assume-push @p409 @t114) % 45.54/45.95 (step @p151 :rule skolemize :premises (@p409)) % 45.54/45.95 (step-pop @p410 :rule scope :premises (@p151)) % 45.54/45.95 (step @p152 :rule process_scope :premises (@p410) :args (@t143)) % 45.54/45.95 (step @p154 :rule implies_elim :premises (@p152)) % 45.54/45.95 (step @p155 :rule eq_resolve :premises (@p154 @p149)) % 45.54/45.95 (step @p156 :rule chain_m_resolution :premises (@p155 @p146) :args (@t113 @t106 (@list @t141))) % 45.54/45.95 (step @p157 :rule evaluate :args (@t144)) % 45.54/45.95 (step @p158 :rule cong :premises (@p157) :args (@t145)) % 45.54/45.95 (step @p159 :rule cong :premises (@p67 @p158) :args (@t146)) % 45.54/45.95 (step @p160 :rule cong :premises (@p159) :args (@t147)) % 45.54/45.95 (step @p161 :rule refl :args (@t150)) % 45.54/45.95 (step @p162 :rule refl :args (@t151)) % 45.54/45.95 (step @p163 :rule nary_cong :premises (@p162 @p161 @p160) :args (@t152)) % 45.54/45.95 (step @p164 :rule cong :premises (@p73 @p163) :args ((=> @t101 @t152))) % 45.54/45.95 (assume-push @p411 @t101) % 45.54/45.95 (step @p166 :rule instantiate :premises (@p64) :args ((@list tptp.filling 1))) % 45.54/45.95 (step-pop @p412 :rule scope :premises (@p166)) % 45.54/45.95 (step @p167 :rule process_scope :premises (@p412) :args (@t152)) % 45.54/45.95 (step @p169 :rule eq_resolve :premises (@p167 @p164)) % 45.54/45.95 (step @p170 :rule implies_elim :premises (@p169)) % 45.54/45.95 (step @p171 :rule chain_m_resolution :premises (@p170 @p64) :args (@t154 @t106 @t107)) % 45.54/45.95 (step @p172 :rule eq-symm :args (@t155 tptp.tapOn)) % 45.54/45.95 (step @p173 :rule nary_cong :premises (@p172 @p117) :args (@t156)) % 45.54/45.95 (step @p174 :rule refl :args (@t157)) % 45.54/45.95 (step @p175 :rule cong :premises (@p174 @p173) :args (@t158)) % 45.54/45.95 (step @p176 :rule cong :premises (@p122 @p175) :args ((=> @t133 @t158))) % 45.54/45.95 (assume-push @p413 @t133) % 45.54/45.95 (step @p178 :rule instantiate :premises (@p116) :args ((@list @t155 tptp.filling 1))) % 45.54/45.95 (step-pop @p414 :rule scope :premises (@p178)) % 45.54/45.95 (step @p179 :rule process_scope :premises (@p414) :args (@t158)) % 45.54/45.95 (step @p181 :rule eq_resolve :premises (@p179 @p176)) % 45.54/45.95 (step @p182 :rule implies_elim :premises (@p181)) % 45.54/45.95 (step @p183 :rule chain_m_resolution :premises (@p182 @p116) :args (@t160 @t106 @t136)) % 45.54/45.95 (step @p184 :rule cnf_and_pos :args (@t159 1)) % 45.54/45.95 (step @p185 :rule reordering :premises (@p184) :args ((or @t128 @t161))) % 45.54/45.95 (step @p186 :rule chain_m_resolution :premises (@p185 @p133) :args (@t161 @t106 @t138)) % 45.54/45.95 (step @p187 :rule cnf_equiv_pos1 :args (@t160)) % 45.54/45.95 (step @p188 :rule reordering :premises (@p187) :args ((or @t162 @t159 (not @t160)))) % 45.54/45.95 (step @p189 :rule chain_m_resolution :premises (@p188 @p186 @p183) :args (@t162 @t140 (@list @t159 @t160))) % 45.54/45.95 (step @p190 :rule bool-double-not-elim :args (@t157)) % 45.54/45.95 (step @p191 :rule refl :args (@t163)) % 45.54/45.95 (step @p192 :rule nary_cong :premises (@p191 @p190) :args ((or @t163 (not @t162)))) % 45.54/45.95 (step @p193 :rule cnf_or_neg :args (@t163 1)) % 45.54/45.95 (step @p194 :rule eq_resolve :premises (@p193 @p192)) % 45.54/45.95 (step @p195 :rule reordering :premises (@p194) :args ((or @t157 @t163))) % 45.54/45.95 (step @p196 :rule chain_m_resolution :premises (@p195 @p189) :args (@t163 @t142 (@list @t157))) % 45.54/45.95 (step @p197 :rule refl :args (@t164)) % 45.54/45.95 (step @p198 :rule bool-double-not-elim :args (@t149)) % 45.54/45.95 (step @p199 :rule nary_cong :premises (@p198 @p197) :args ((or (not @t150) @t164))) % 45.54/45.95 (assume-push @p415 @t150) % 45.54/45.95 (step @p201 :rule skolemize :premises (@p415)) % 45.54/45.95 (step-pop @p416 :rule scope :premises (@p201)) % 45.54/45.95 (step @p202 :rule process_scope :premises (@p416) :args (@t164)) % 45.54/45.95 (step @p204 :rule implies_elim :premises (@p202)) % 45.54/45.95 (step @p205 :rule eq_resolve :premises (@p204 @p199)) % 45.54/45.95 (step @p206 :rule chain_m_resolution :premises (@p205 @p196) :args (@t149 @t106 (@list @t163))) % 45.54/45.95 (step @p207 :rule evaluate :args (@t165)) % 45.54/45.95 (step @p208 :rule cong :premises (@p207) :args (@t166)) % 45.54/45.95 (step @p209 :rule cong :premises (@p67 @p208) :args (@t167)) % 45.54/45.95 (step @p210 :rule cong :premises (@p209) :args (@t168)) % 45.54/45.95 (step @p211 :rule refl :args (@t170)) % 45.54/45.95 (step @p212 :rule refl :args (@t75)) % 45.54/45.95 (step @p213 :rule nary_cong :premises (@p212 @p211 @p210) :args (@t171)) % 45.54/45.95 (step @p214 :rule cong :premises (@p73 @p213) :args ((=> @t101 @t171))) % 45.54/45.95 (assume-push @p417 @t101) % 45.54/45.95 (step @p216 :rule instantiate :premises (@p64) :args ((@list tptp.filling 0))) % 45.54/45.95 (step-pop @p418 :rule scope :premises (@p216)) % 45.54/45.95 (step @p217 :rule process_scope :premises (@p418) :args (@t171)) % 45.54/45.95 (step @p219 :rule eq_resolve :premises (@p217 @p214)) % 45.54/45.95 (step @p220 :rule implies_elim :premises (@p219)) % 45.54/45.95 (step @p221 :rule chain_m_resolution :premises (@p220 @p64) :args (@t173 @t106 @t107)) % 45.54/45.95 (step @p222 :rule eq-symm :args (@t174 tptp.tapOn)) % 45.54/45.95 (step @p223 :rule nary_cong :premises (@p222 @p117) :args (@t175)) % 45.54/45.95 (step @p224 :rule refl :args (@t176)) % 45.54/45.95 (step @p225 :rule cong :premises (@p224 @p223) :args (@t177)) % 45.54/45.95 (step @p226 :rule cong :premises (@p122 @p225) :args ((=> @t133 @t177))) % 45.54/45.95 (assume-push @p419 @t133) % 45.54/45.95 (step @p228 :rule instantiate :premises (@p116) :args ((@list @t174 tptp.filling 0))) % 45.54/45.95 (step-pop @p420 :rule scope :premises (@p228)) % 45.54/45.95 (step @p229 :rule process_scope :premises (@p420) :args (@t177)) % 45.54/45.95 (step @p231 :rule eq_resolve :premises (@p229 @p226)) % 45.54/45.95 (step @p232 :rule implies_elim :premises (@p231)) % 45.54/45.95 (step @p233 :rule chain_m_resolution :premises (@p232 @p116) :args (@t179 @t106 @t136)) % 45.54/45.95 (step @p234 :rule cnf_and_pos :args (@t178 1)) % 45.54/45.95 (step @p235 :rule reordering :premises (@p234) :args ((or @t128 @t180))) % 45.54/45.95 (step @p236 :rule chain_m_resolution :premises (@p235 @p133) :args (@t180 @t106 @t138)) % 45.54/45.95 (step @p237 :rule cnf_equiv_pos1 :args (@t179)) % 45.54/45.95 (step @p238 :rule reordering :premises (@p237) :args ((or @t181 @t178 (not @t179)))) % 45.54/45.95 (step @p239 :rule chain_m_resolution :premises (@p238 @p236 @p233) :args (@t181 @t140 (@list @t178 @t179))) % 45.54/45.95 (step @p240 :rule bool-double-not-elim :args (@t176)) % 45.54/45.95 (step @p241 :rule refl :args (@t182)) % 45.54/45.95 (step @p242 :rule nary_cong :premises (@p241 @p240) :args ((or @t182 (not @t181)))) % 45.54/45.95 (step @p243 :rule cnf_or_neg :args (@t182 1)) % 45.54/45.95 (step @p244 :rule eq_resolve :premises (@p243 @p242)) % 45.54/45.95 (step @p245 :rule reordering :premises (@p244) :args ((or @t176 @t182))) % 45.54/45.95 (step @p246 :rule chain_m_resolution :premises (@p245 @p239) :args (@t182 @t142 (@list @t176))) % 45.54/45.95 (step @p247 :rule refl :args (@t183)) % 45.54/45.95 (step @p248 :rule bool-double-not-elim :args (@t169)) % 45.54/45.95 (step @p249 :rule nary_cong :premises (@p248 @p247) :args ((or (not @t170) @t183))) % 45.54/45.95 (assume-push @p421 @t170) % 45.54/45.95 (step @p251 :rule skolemize :premises (@p421)) % 45.54/45.95 (step-pop @p422 :rule scope :premises (@p251)) % 45.54/45.95 (step @p252 :rule process_scope :premises (@p422) :args (@t183)) % 45.54/45.95 (step @p254 :rule implies_elim :premises (@p252)) % 45.54/45.95 (step @p255 :rule eq_resolve :premises (@p254 @p249)) % 45.54/45.95 (step @p256 :rule chain_m_resolution :premises (@p255 @p246) :args (@t169 @t106 (@list @t182))) % 45.54/45.95 (step @p257 :rule cnf_or_pos :args (@t173)) % 45.54/45.95 (step @p258 :rule reordering :premises (@p257) :args ((or @t75 @t170 @t172 (not @t173)))) % 45.54/45.95 (step @p259 :rule chain_m_resolution :premises (@p258 @p30 @p256 @p221) :args (@t172 @t184 (@list @t75 @t169 @t173))) % 45.54/45.95 (step @p260 :rule cnf_or_pos :args (@t154)) % 45.54/45.95 (step @p261 :rule reordering :premises (@p260) :args ((or @t151 @t150 @t153 (not @t154)))) % 45.54/45.95 (step @p262 :rule chain_m_resolution :premises (@p261 @p259 @p206 @p171) :args (@t153 @t184 (@list @t151 @t149 @t154))) % 45.54/45.95 (step @p263 :rule cnf_or_pos :args (@t118)) % 45.54/45.95 (step @p264 :rule reordering :premises (@p263) :args ((or @t115 @t114 @t117 (not @t118)))) % 45.54/45.95 (step @p265 :rule chain_m_resolution :premises (@p264 @p262 @p156 @p96) :args (@t117 @t184 (@list @t115 @t113 @t118))) % 45.54/45.95 (step @p266 :rule aci_norm :args ((= (or (or @t37 @t83 @t187) @t185) @t188))) % 45.54/45.95 (step @p267 :rule refl :args (@t185)) % 45.54/45.95 (step @p268 :rule refl :args (@t187)) % 45.54/45.95 (step @p269 :rule bool-double-not-elim :args (@t83)) % 45.54/45.95 (step @p270 :rule refl :args (@t37)) % 45.54/45.95 (step @p271 :rule nary_cong :premises (@p270 @p269 @p268) :args (@t190)) % 45.54/45.95 (step @p272 :rule aci_norm :args ((= (or @t37 (or @t189 @t187)) @t190))) % 45.54/45.95 (step @p273 :rule trans :premises (@p272 @p271)) % 45.54/45.95 (step @p274 :rule bool-and-de-morgan :args (@t84 @t186 true)) % 45.54/45.95 (step @p275 :rule nary_cong :premises (@p270 @p274) :args ((or @t37 (not (and @t84 @t186))))) % 45.54/45.95 (step @p276 :rule bool-and-de-morgan :args (@t30 @t84 (and @t186))) % 45.54/45.95 (step @p277 :rule trans :premises (@p276 @p275)) % 45.54/45.95 (step @p278 :rule trans :premises (@p277 @p273)) % 45.54/45.95 (step @p279 :rule nary_cong :premises (@p278 @p267) :args ((or (not @t191) @t185))) % 45.54/45.95 (step @p280 :rule trans :premises (@p279 @p266)) % 45.54/45.95 (step @p281 :rule bool-impl-elim :args (@t191 @t185)) % 45.54/45.95 (step @p282 :rule trans :premises (@p281 @p280)) % 45.54/45.95 (step @p283 :rule cong :premises (@p282) :args ((forall @t33 (=> @t191 @t185)))) % 45.54/45.95 (step @p284 :rule cong :premises (@p48 @p47) :args (@t23)) % 45.54/45.95 (step @p285 :rule bool-double-not-elim :args (@t186)) % 45.54/45.95 (step @p286 :rule bool-and-de-morgan :args (@t10 @t5 true)) % 45.54/45.95 (step @p287 :rule cong :premises (@p286) :args (@t192)) % 45.54/45.95 (step @p288 :rule cong :premises (@p287) :args (@t193)) % 45.54/45.95 (step @p289 :rule exists-elim :args ((= @t26 @t193))) % 45.54/45.95 (step @p290 :rule trans :premises (@p289 @p288)) % 45.54/45.95 (step @p291 :rule cong :premises (@p290) :args (@t27)) % 45.54/45.95 (step @p292 :rule trans :premises (@p291 @p285)) % 45.54/45.95 (step @p293 :rule refl :args (@t30)) % 45.54/45.95 (step @p294 :rule nary_cong :premises (@p293 @p50 @p292) :args (@t31)) % 45.54/45.95 (step @p295 :rule cong :premises (@p294 @p284) :args (@t32)) % 45.54/45.95 (step @p296 :rule cong :premises (@p295) :args (@t34)) % 45.54/45.95 (step @p297 :rule trans :premises (@p296 @p283)) % 45.54/45.95 (step @p298 :rule eq_resolve :premises (@p5 @p297)) % 45.54/45.95 (step @p299 :rule cong :premises (@p67 @p66) :args (@t194)) % 45.54/45.95 (step @p300 :rule refl :args (@t196)) % 45.54/45.95 (step @p301 :rule refl :args (@t197)) % 45.54/45.95 (step @p302 :rule nary_cong :premises (@p301 @p68 @p300 @p299) :args (@t198)) % 45.54/45.95 (step @p303 :rule refl :args (@t199)) % 45.54/45.95 (step @p304 :rule cong :premises (@p303 @p302) :args ((=> @t199 @t198))) % 45.54/45.95 (assume-push @p423 @t199) % 45.54/45.95 (step @p306 :rule instantiate :premises (@p298) :args (@t102)) % 45.54/45.95 (step-pop @p424 :rule scope :premises (@p306)) % 45.54/45.95 (step @p307 :rule process_scope :premises (@p424) :args (@t198)) % 45.54/45.95 (step @p309 :rule eq_resolve :premises (@p307 @p304)) % 45.54/45.95 (step @p310 :rule implies_elim :premises (@p309)) % 45.54/45.95 (step @p311 :rule chain_m_resolution :premises (@p310 @p298) :args (@t200 @t106 (@list @t199))) % 45.54/45.95 (step @p312 :rule aci_norm :args ((= (or false @t202) @t202))) % 45.54/45.95 (step @p313 :rule eq-symm :args (@t201 tptp.overflow)) % 45.54/45.95 (step @p314 :rule refl :args (@t80)) % 45.54/45.95 (step @p315 :rule refl :args (@t79)) % 45.54/45.95 (step @p316 :rule nary_cong :premises (@p315 @p314 @p313) :args (@t203)) % 45.54/45.95 (step @p317 :rule absorb :args ((= (and (= tptp.tapOn @t201) false) false))) % 45.54/45.95 (step @p318 :rule evaluate :args (@t204)) % 45.54/45.95 (step @p319 :rule eq-symm :args (@t201 tptp.tapOn)) % 45.54/45.95 (step @p320 :rule nary_cong :premises (@p319 @p318) :args (@t205)) % 45.54/45.95 (step @p321 :rule trans :premises (@p320 @p317)) % 45.54/45.95 (step @p322 :rule nary_cong :premises (@p321 @p316) :args (@t206)) % 45.54/45.95 (step @p323 :rule trans :premises (@p322 @p312)) % 45.54/45.95 (step @p324 :rule refl :args (@t207)) % 45.54/45.95 (step @p325 :rule cong :premises (@p324 @p323) :args (@t208)) % 45.54/45.95 (step @p326 :rule refl :args (@t73)) % 45.54/45.95 (step @p327 :rule cong :premises (@p326 @p325) :args ((=> @t73 @t208))) % 45.54/45.95 (assume-push @p425 @t73) % 45.54/45.95 (step @p329 :rule instantiate :premises (@p25) :args ((@list @t201 3))) % 45.54/45.95 (step-pop @p426 :rule scope :premises (@p329)) % 45.54/45.95 (step @p330 :rule process_scope :premises (@p426) :args (@t208)) % 45.54/45.95 (step @p332 :rule eq_resolve :premises (@p330 @p327)) % 45.54/45.95 (step @p333 :rule implies_elim :premises (@p332)) % 45.54/45.95 (step @p334 :rule chain_m_resolution :premises (@p333 @p25) :args (@t209 @t106 (@list @t73))) % 45.54/45.95 (step @p335 :rule not_implies_elim2 :premises (@p32)) % 45.54/45.95 (step @p336 :rule not_or_elim :premises (@p335) :args (0)) % 45.54/45.95 (step @p337 :rule cnf_and_pos :args (@t202 0)) % 45.54/45.95 (step @p338 :rule reordering :premises (@p337) :args ((or @t79 @t210))) % 45.54/45.95 (step @p339 :rule chain_m_resolution :premises (@p338 @p336) :args (@t210 @t142 (@list @t79))) % 45.54/45.95 (step @p340 :rule cnf_equiv_pos1 :args (@t209)) % 45.54/45.95 (step @p341 :rule reordering :premises (@p340) :args ((or @t211 @t202 (not @t209)))) % 45.54/45.95 (step @p342 :rule chain_m_resolution :premises (@p341 @p339 @p334) :args (@t211 @t140 (@list @t202 @t209))) % 45.54/45.95 (step @p343 :rule bool-double-not-elim :args (@t207)) % 45.54/45.95 (step @p344 :rule refl :args (@t212)) % 45.54/45.95 (step @p345 :rule nary_cong :premises (@p344 @p343) :args ((or @t212 (not @t211)))) % 45.54/45.95 (step @p346 :rule cnf_or_neg :args (@t212 0)) % 45.54/45.95 (step @p347 :rule eq_resolve :premises (@p346 @p345)) % 45.54/45.95 (step @p348 :rule reordering :premises (@p347) :args ((or @t207 @t212))) % 45.54/45.95 (step @p349 :rule chain_m_resolution :premises (@p348 @p342) :args (@t212 @t142 (@list @t207))) % 45.54/45.95 (step @p350 :rule refl :args (@t213)) % 45.54/45.95 (step @p351 :rule bool-double-not-elim :args (@t195)) % 45.54/45.95 (step @p352 :rule nary_cong :premises (@p351 @p350) :args ((or (not @t196) @t213))) % 45.54/45.95 (assume-push @p427 @t196) % 45.54/45.95 (step @p354 :rule skolemize :premises (@p427)) % 45.54/45.95 (step-pop @p428 :rule scope :premises (@p354)) % 45.54/45.95 (step @p355 :rule process_scope :premises (@p428) :args (@t213)) % 45.54/45.95 (step @p357 :rule implies_elim :premises (@p355)) % 45.54/45.95 (step @p358 :rule eq_resolve :premises (@p357 @p352)) % 45.54/45.95 (step @p359 :rule chain_m_resolution :premises (@p358 @p349) :args (@t195 @t106 (@list @t212))) % 45.54/45.95 (step @p360 :rule not_implies_elim1 :premises (@p32)) % 45.54/45.95 (step @p361 :rule not_or_elim :premises (@p335) :args (1)) % 45.54/45.95 (step @p362 :rule cnf_or_pos :args (@t200)) % 45.54/45.95 (step @p363 :rule reordering :premises (@p362) :args ((or @t77 @t197 @t196 @t103 (not @t200)))) % 45.54/45.95 (step @p364 :rule chain_m_resolution :premises (@p363 @p361 @p360 @p359 @p311) :args (@t103 (@list true false false false) (@list @t77 @t80 @t195 @t200))) % 45.54/45.95 (step @p365 :rule cnf_or_pos :args (@t105)) % 45.54/45.95 (step @p366 :rule reordering :premises (@p365) :args ((or @t104 @t99 @t98 (not @t105)))) % 45.54/45.95 (step @p367 :rule chain_m_resolution :premises (@p366 @p364 @p265 @p81) :args (@t98 @t214 (@list @t103 @t99 @t105))) % 45.54/45.95 (step @p368 :rule refl :args (@t219)) % 45.54/45.95 (step @p369 :rule bool-double-not-elim :args (@t97)) % 45.54/45.95 (step @p370 :rule nary_cong :premises (@p369 @p368) :args ((or (not @t98) @t219))) % 45.54/45.95 (assume-push @p429 @t98) % 45.54/45.95 (step @p372 :rule skolemize :premises (@p429)) % 45.54/45.95 (step-pop @p430 :rule scope :premises (@p372)) % 45.54/45.95 (step @p373 :rule process_scope :premises (@p430) :args (@t219)) % 45.54/45.96 (step @p375 :rule implies_elim :premises (@p373)) % 45.54/45.96 (step @p376 :rule eq_resolve :premises (@p375 @p370)) % 45.54/45.96 (step @p377 :rule chain_m_resolution :premises (@p376 @p367) :args (@t219 @t142 (@list @t97))) % 45.54/45.96 (step @p378 :rule bool-double-not-elim :args (@t216)) % 45.54/45.96 (step @p379 :rule refl :args (@t218)) % 45.54/45.96 (step @p380 :rule nary_cong :premises (@p379 @p378) :args ((or @t218 (not @t217)))) % 45.54/45.96 (step @p381 :rule cnf_or_neg :args (@t218 1)) % 45.54/45.96 (step @p382 :rule eq_resolve :premises (@p381 @p380)) % 45.54/45.96 (step @p383 :rule reordering :premises (@p382) :args ((or @t216 @t218))) % 45.54/45.96 (step @p384 :rule chain_m_resolution :premises (@p383 @p377) :args (@t216 @t142 (@list @t218))) % 45.54/45.96 (step @p385 :rule cnf_and_pos :args (@t220 1)) % 45.54/45.96 (step @p386 :rule reordering :premises (@p385) :args ((or @t128 @t221))) % 45.54/45.96 (step @p387 :rule chain_m_resolution :premises (@p386 @p133) :args (@t221 @t106 @t138)) % 45.54/45.96 (step @p388 :rule eq-symm :args (@t215 tptp.tapOn)) % 45.54/45.96 (step @p389 :rule nary_cong :premises (@p388 @p117) :args (@t222)) % 45.54/45.96 (step @p390 :rule refl :args (@t216)) % 45.54/45.96 (step @p391 :rule cong :premises (@p390 @p389) :args (@t223)) % 45.54/45.96 (step @p392 :rule cong :premises (@p122 @p391) :args ((=> @t133 @t223))) % 45.54/45.96 (assume-push @p431 @t133) % 45.54/45.96 (step @p394 :rule instantiate :premises (@p116) :args ((@list @t215 tptp.filling 3))) % 45.54/45.96 (step-pop @p432 :rule scope :premises (@p394)) % 45.54/45.96 (step @p395 :rule process_scope :premises (@p432) :args (@t223)) % 45.54/45.96 (step @p397 :rule eq_resolve :premises (@p395 @p392)) % 45.54/45.96 (step @p398 :rule implies_elim :premises (@p397)) % 45.54/45.96 (step @p399 :rule chain_m_resolution :premises (@p398 @p116) :args (@t224 @t106 @t136)) % 45.54/45.96 (step @p400 :rule cnf_equiv_pos1 :args (@t224)) % 45.54/45.96 (step @p401 :rule reordering :premises (@p400) :args ((or @t217 @t220 (not @t224)))) % 45.54/45.96 (step @p402 false :rule chain_m_resolution :premises (@p401 @p399 @p387 @p384) :args (false @t214 (@list @t224 @t220 @t216))) % 45.54/45.96 ) % 45.54/45.96 % SZS output end Proof % 45.54/45.96 % cvc5 exiting %------------------------------------------------------------------------------